Finite Group Databasebeta

← #7732517

Subgroups — #7732517

Order 512.

5176 conjugacy classes of subgroups.

The subgroup lattice has 1596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#47925C214yesmaximal, complemented
2#47920C214yesmaximal, complemented
3#47015C214yesmaximal, complemented
4#46410C214yesmaximal, complemented
5#43048C214yesmaximal, complemented
6#43016C214yesmaximal, complemented
7#39550C212yesmaximal, complemented
8#39549C212yesmaximal, complemented
9#39504C212yesmaximal, complemented
10#39482C212yesmaximal, complemented
11#39056C212yesmaximal, complemented
12#39054C212yesmaximal, complemented
13#38067C212yesmaximal, complemented
14#38055C212yesmaximal, complemented
15#37944C212yesmaximal, complemented
16#37758C212yesmaximal, complemented
17#37451C211yesmaximal, characteristic, complemented
18#37371C212yesmaximal, complemented
19#37364C212yesmaximal, complemented
20#36183C212yesmaximal, complemented
21#36108C212yesmaximal, complemented
22#35613C212yesmaximal, complemented
23#35523C212yesmaximal, complemented
24#35253C211yesmaximal, characteristic, complemented
25#35000C211yesmaximal, characteristic
26C2×#2415C211yesmaximal, characteristic, complemented
27#34380C211yesmaximal, characteristic, complemented
28#34204C211yesmaximal, characteristic, complemented
29#34057C211yesmaximal, characteristic, complemented
30C2×#551C2214yescomplemented
31C2×#544C2211yescharacteristic, complemented
32C2×#534C2212yes—
33C2×#529C2212yescomplemented
34C22×C22⋊Q8C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic, complemented
36C22×#121C2211yescharacteristic
37C2×#518C2211yescharacteristic, complemented
38C22×C4×D4C2211yescharacteristic
39C22×#117C2211yescharacteristic
40#2857C2212yescomplemented
41#2857C2212yescomplemented
42#2855C2212yescomplemented
43#2854C2212yes—
44#2854C2212yescomplemented
45#2851C2212yescomplemented
46#2850C2212yescomplemented
47#2847C2212yes—
48#2816C2214yescomplemented
49#2809C2214yescomplemented
50#2808C2214yescomplemented
51#2802C2214yescomplemented
52#2800C2214yescomplemented
53#2797C2214yescomplemented
54#2787C2214yescomplemented
55#2786C2214yescomplemented
56#2783C2214yescomplemented
57#2783C2214yescomplemented
58#2782C2214yescomplemented
59#2779C2214yescomplemented
60#2777C2214yescomplemented
61#2773C2214yescomplemented
62#2772C2214yescomplemented
63#2768C2214yescomplemented
64#2764C2214yescomplemented
65#2763C2214yescomplemented
66#2759C2214yescomplemented
67#2757C2214yescomplemented
68#2754C2214yescomplemented
69#2746C2214yescomplemented
70#2745C2214yescomplemented
71#2739C2214yescomplemented
72#2738C2214yescomplemented
73#2736C2214yescomplemented
74#2735C2214yescomplemented
75#2725C2214yescomplemented
76#2723C2214yescomplemented
77#2718C2214yescomplemented
78#2710C2214yescomplemented
79#2708C2214yescomplemented
80#2708C2214yescomplemented
81#2697C2214yes—
82#2695C2214yes—
83#2691C2214yescomplemented
84#2689C2214yescomplemented
85#2687C2214yes—
86#2684C2214yes—
87#2681C2214yescomplemented
88#2674C2214yescomplemented
89#2647C2212yescomplemented
90#2645C2212yescomplemented
91#2644C2212yescomplemented
92#2640C2212yescomplemented
93#2629C2212yescomplemented
94#2628C2212yescomplemented
95#2626C2212yescomplemented
96#2626C2212yescomplemented
97#2620C2212yescomplemented
98#2620C2212yescomplemented
99#2618C2212yes—
100#2618C2212yes—
101#2618C2212yes—
102#2617C2212yes—
103#2608C2214yescomplemented
104#2600C2214yescomplemented
105#2597C2214yescomplemented
106#2595C2214yescomplemented
107#2590C2214yescomplemented
108#2587C2214yescomplemented
109#2578C2214yescomplemented
110#2577C2214yescomplemented
111#2576C2214yescomplemented
112#2575C2214yescomplemented
113#2564C2214yescomplemented
114#2564C2214yescomplemented
115#2560C2214yescomplemented
116#2559C2214yescomplemented
117#2553C2214yes—
118#2553C2214yescomplemented
119#2543C2214yes—
120#2534C2214yes—
121#2534C2214yes—
122#2521C2214yescomplemented
123#2515C2214yescomplemented
124#2513C2212yescomplemented
125#2511C2212yescomplemented
126#2510C2214yescomplemented
127#2508C2214yescomplemented
128#2507C2212yescomplemented
129#2507C2212yescomplemented
130#2502C2212yescomplemented
131#2501C2212yes—
132#2498C2214yescomplemented
133#2498C2214yescomplemented
134#2497C2214yescomplemented
135#2496C2212yescomplemented
136#2496C2212yescomplemented
137#2491C2212yescomplemented
138#2489C2212yescomplemented
139#2488C2214yescomplemented
140#2488C2214yescomplemented
141#2488C2214yescomplemented
142#2486C2212yes—
143#2486C2214yescomplemented
144#2485C2214yescomplemented
145#2482C2214yescomplemented
146#2481C2214yescomplemented
147#2480C2214yescomplemented
148#2478C2214yescomplemented
149#2477C2214yescomplemented
150#2477C2214yescomplemented
151#2476C2214yescomplemented
152#2470C2214yes—
153#2470C2214yescomplemented
154#2466C2214yescomplemented
155#2466C2214yescomplemented
156#2460C2214yescomplemented
157#2455C2214yescomplemented
158#2454C2212yescomplemented
159#2451C2212yescomplemented
160#2450C2214yescomplemented
161#2448C2212yescomplemented
162#2447C2212yescomplemented
163#2442C2212yescomplemented
164#2441C2212yescomplemented
165#2440C2212yescomplemented
166#2439C2214yescomplemented
167#2439C2212yescomplemented
168#2438C2214yescomplemented
169#2437C2214yes—
170#2436C2212yes—
171#2435C2212yescomplemented
172#2427C2214yescomplemented
173#2427C2212yescomplemented
174#2426C2212yescomplemented
175#2422C2212yescomplemented
176#2421C2212yescomplemented
177#2420C2214yescomplemented
178#2419C2214yescomplemented
179#2419C2214yescomplemented
180#2418C2214yes—
181#2416C2212yes—
182#2416C2212yes—
183#2415C2212yes—
184#2415C2214yes—
185#2415C2212yes—
186#2415C2212yescomplemented
187#2415C2214yescomplemented
188#2415C2212yescomplemented
189#2413C2214yescomplemented
190#2412C2214yescomplemented
191#2412C2214yescomplemented
192#2408C2212yes—
193#2405C2214yes—
194C2×#397C2212yes—
195C2×#394C2212yes—
196#2378C2214yescomplemented
197#2363C2212yescomplemented
198#2363C2212yescomplemented
199#2361C2212yes—
200#2361C2212yes—
201#2360C2212yescomplemented
202#2360C2212yescomplemented
203#2359C2214yescomplemented
204#2358C2214yescomplemented
205#2352C2214yescomplemented
206#2344C2212yescomplemented
207#2342C2214yes—
208#2342C2214yescomplemented
209Q8×C22⋊C4C2212yescomplemented
210D4×C22⋊C4C2214yes—
211#2330C2212yescomplemented
212#2329C2212yescomplemented
213#2329C2212yescomplemented
214#2326C2212yescomplemented
215#2324C2212yescomplemented
216#2324C2212yescomplemented
217#2323C2212yescomplemented
218#2323C2212yescomplemented
219#2320C2212yescomplemented
220#2319C2212yescomplemented
221#2318C2212yes—
222#2318C2212yes—
223#2318C2212yescomplemented
224#2318C2212yescomplemented
225#2317C2211yescharacteristic, complemented
226#2317C2211yescharacteristic, complemented
227#2316C2212yescomplemented
228#2316C2211yescharacteristic, complemented
229#2316C2211yescharacteristic, complemented
230#2315C2211yescharacteristic, complemented
231#2315C2211yescharacteristic, complemented
232#2313C2211yescharacteristic, complemented
233#2313C2211yescharacteristic, complemented
234#2313C2212yescomplemented
235#2312C2212yes—
236#2309C2211yescharacteristic, complemented
237#2308C2212yes—
238#2308C2212yes—
239C4×C22⋊Q8C2212yescomplemented
240C4×#121C2212yes—
241C4×#121C2212yes—
242C4×#121C2212yescomplemented
243C2×#391C2211yescharacteristic, complemented
244C2×#389C2212yescomplemented
245C2×#389C2211yescharacteristic, complemented
246#2290C2212yes—
247#2290C2212yes—
248#2290C2212yescomplemented
249#2290C2212yescomplemented
250C2×#388C2212yescomplemented
251#2285C2212yescomplemented
252#2283C2212yescomplemented
253#2280C2211yescharacteristic
254#2280C2211yescharacteristic
255C2×#380C2211yescharacteristic
256C2×#380C2211yescharacteristic, complemented
257#2274C2211yescharacteristic, complemented
258C2×C4×C22⋊C4C2212yescomplemented
259C23×Q8C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2312yes—
262C23×D4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265#551—416no—
266#544—44no—
267#534—48no—
268C2×C4⋊Q8C2312yes—
269C2×C4⋊Q8C2312yes—
270#529—48no—
271C2×#126C2314yes—
272C2×#126C2314yes—
273C2×#126C2314yes—
274C2×#125C2312yes—
275C2×#125C2312yes—
276C2×#124C2312yes—
277C2×#124C2312yes—
278C2×#124C2314yes—
279C2×#123C2314yes—
280C2×#123C2314yes—
281C2×#123C2314yes—
282C2×#123C2314yes—
283C2×#123C2314yes—
284C2×#123C2314yes—
285C2×#123C2314yes—
286C2×C22⋊Q8—28no—
287C2×C22⋊Q8—44no—
288C2×C22⋊Q8C2312yes—
289C2×C22⋊Q8C2312yes—
290C2×C22⋊Q8C2312yes—
291C2×C22⋊Q8C2312yes—
292C2×C22⋊Q8C2312yes—
293C2×C22⋊Q8C2314yes—
294C2×C22⋊Q8C2314yes—
295C2×C22⋊Q8C2314yes—
296C2×C22⋊Q8C2312yes—
297C2×C22⋊Q8C2314yes—
298C2×#121—28no—
299C2×#121C2312yes—
300C2×#121C2312yes—
301C2×#121C2312yes—
302C2×#121C2312yes—
303C2×#121C2312yes—
304C2×#121C2312yes—
305C2×#121C2314yes—
306C2×#121C2314yes—
307C2×#120C2314yes—
308C2×#120C2314yes—
309#518—44no—
310C2×C4×Q8C2312yes—
311C2×C4×Q8C2312yes—
312C2×C4×D4—28no—
313C2×C4×D4C2312yes—
314C2×C4×D4C2312yes—
315C2×C4×D4C2312yes—
316C2×C4×D4C2312yes—
317C2×C4×D4C2312yes—
318C2×C4×D4C2314yes—
319C2×C4×D4C2314yes—
320C2×C4×D4C2312yes—
321C2×C4×D4C2312yes—
322C2×C4×D4C2312yes—
323C2×C4×D4C2314yes—
324C2×C4×D4C2314yes—
325C2×#117—44no—
326C2×#117C2311yescharacteristic
327C2×#117C2311yescharacteristic
328C2×#117C2311yescharacteristic
329C2×#117C2311yescharacteristic
330C2×#117C2311yescharacteristic
331C2×#117C2311yescharacteristic
332C2×#117C2314yes—
333C2×#117C2311yescharacteristic
334C2×#117C2311yescharacteristic
335C2×#117C2312yes—
336C2×#117C2312yes—
337C2×#117C2314yes—
338C2×#117C2314yes—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2312yes—
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2312yes—
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2312yes—
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2312yes—
353C22×C22⋊C4C2312yes—
354C22×C22⋊C4C2312yes—
355C22×C22⋊C4C2312yes—
356C22×C22⋊C4C2312yes—
357C22×C22⋊C4C2312yes—
358C22×C22⋊C4C2314yes—
359C22×C22⋊C4C2312yes—
360C22×C42C2311yescharacteristic
361C22×C42C2312yes—
362C22×C42C2312yes—
363C22×C42C2312yes—
364#401C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#399C2314yes—
378#399C2314yes—
379#399C2314yes—
380#399C2314yes—
381#399C2314yes—
382#398C2314yes—
383#398C2314yes—
384#398C2314yes—
385#398C2314yes—
386#398C2314yes—
387#398C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#397C2314yes—
395#397C2314yes—
396#397C2314yes—
397#397C2314yes—
398#397C2314yes—
399#397C2314yes—
400#397C2314yes—
401#397C2314yes—
402#397C2314yes—
403#397C2314yes—
404#397C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2314yes—
409#397C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#396C2314yes—
416#396C2314yes—
417#396C2314yes—
418#396C2314yes—
419#396C2314yes—
420#396C2314yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2314yes—
426#395C2314yes—
427#395C2314yes—
428#394C2314yes—
429#394C2314yes—
430#394C2314yes—
431#394C2314yes—
432#394C2314yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2314yes—
440#394C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#393C2314yes—
446#393C2314yes—
447#393C2314yes—
448#393C2314yes—
449#393C2314yes—
450#393C2314yes—
451#392C2314yes—
452#391C2314yes—
453#391C2312yes—
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2314yes—
458#391C2314yes—
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2314yes—
463#391C2314yes—
464#390C2314yes—
465#390C2312yes—
466#390C2312yes—
467#390C2312yes—
468#390C2312yes—
469#390C2312yes—
470#390C2312yes—
471#390C2314yes—
472#390C2314yes—
473#390C2312yes—
474#390C2312yes—
475#389C2312yes—
476#389C2314yes—
477#389C2314yes—
478#389C2312yes—
479#389C2312yes—
480#389C2314yes—
481#389C2312yes—
482#389C2312yes—
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2314yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2314yes—
496#389C2312yes—
497#389C2314yes—
498#389C2314yes—
499#389C2314yes—
500#389C2314yes—
501#389C2314yes—
502#389C2314yes—
503#389C2312yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2314yes—
508#388C2314yes—
509#388C2314yes—
510#388C2314yes—
511#388C2312yes—
512#388C2312yes—
513#388C2312yes—
514#388C2312yes—
515#388C2312yes—
516#388C2312yes—
517#388C2312yes—
518#388C2312yes—
519#388C2314yes—
520#388C2314yes—
521#388C2314yes—
522#388C2314yes—
523#388C2314yes—
524#388C2314yes—
525#388C2314yes—
526#388C2314yes—
527#388C2314yes—
528#388C2314yes—
529#388C2314yes—
530#388C2314yes—
531#388C2314yes—
532#388C2314yes—
533#388C2314yes—
534#388C2314yes—
535#388C2314yes—
536#388C2314yes—
537#388C2314yes—
538#388C2314yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#387C2314yes—
548#387C2314yes—
549#387C2314yes—
550#387C2314yes—
551#387C2314yes—
552#387C2312yes—
553#387C2312yes—
554#387C2312yes—
555#387C2312yes—
556#387C2312yes—
557#387C2312yes—
558#387C2312yes—
559#387C2312yes—
560#387C2314yes—
561#387C2314yes—
562#387C2314yes—
563#387C2314yes—
564#387C2314yes—
565#387C2314yes—
566#387C2314yes—
567#387C2314yes—
568#387C2314yes—
569#387C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2314yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#386C2314yes—
579#386C2314yes—
580#386C2312yes—
581#386C2312yes—
582#386C2312yes—
583#386C2312yes—
584#386C2312yes—
585#386C2312yes—
586#386C2312yes—
587#386C2312yes—
588#386C2314yes—
589#386C2314yes—
590#386C2314yes—
591#386C2314yes—
592#386C2314yes—
593#386C2314yes—
594#386C2314yes—
595#386C2314yes—
596#386C2314yes—
597#386C2314yes—
598#386C2314yes—
599#386C2314yes—
600#386C2314yes—
601#386C2314yes—
602#386C2314yes—
603#385C2314yes—
604#385C2314yes—
605#385C2314yes—
606#385C2314yes—
607#385C2312yes—
608#385C2312yes—
609#385C2312yes—
610#385C2312yes—
611#385C2312yes—
612#385C2312yes—
613#385C2312yes—
614#385C2312yes—
615#385C2314yes—
616#385C2314yes—
617#385C2314yes—
618#385C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#384C2312yes—
629#384C2312yes—
630#384C2312yes—
631#384C2312yes—
632#383C2312yes—
633#383C2312yes—
634#383C2314yes—
635#382C2312yes—
636#382C2312yes—
637#382C2312yes—
638#382C2312yes—
639#382C2314yes—
640#382C2314yes—
641#382C2314yes—
642#381C2312yes—
643#381C2312yes—
644#381C2312yes—
645#381C2314yes—
646#381C2314yes—
647#381C2312yes—
648#381C2314yes—
649#381C2314yes—
650#381C2314yes—
651#380C2312yes—
652#380C2314yes—
653#380C2314yes—
654#380C2314yes—
655#380C2312yes—
656#380C2311yescharacteristic
657#380C2311yescharacteristic
658#380C2311yescharacteristic
659#380C2311yescharacteristic
660#380C2312yes—
661#380C2314yes—
662#380C2314yes—
663#380C2311yescharacteristic
664#380C2311yescharacteristic
665#380C2311yescharacteristic
666#380C2311yescharacteristic
667#380C2314yes—
668#380C2312yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2312yes—
677#380C2312yes—
678#380C2314yes—
679#379C2312yes—
680#379C2312yes—
681#379C2314yes—
682#379C2314yes—
683#379C2314yes—
684#379C2314yes—
685C4×C4⋊C4C2314yes—
686C4×C4⋊C4C2312yes—
687C4×C4⋊C4C2314yes—
688C4×C4⋊C4C2312yes—
689C4×C4⋊C4C2312yes—
690C4×C4⋊C4C2312yes—
691C4×C4⋊C4C2312yes—
692C4×C4⋊C4C2312yes—
693C4×C4⋊C4C2312yes—
694C4×C4⋊C4C2312yes—
695C4×C22⋊C4C2312yes—
696C4×C22⋊C4C2312yes—
697C4×C22⋊C4C2312yes—
698C4×C22⋊C4C2314yes—
699C4×C22⋊C4C2312yes—
700C4×C22⋊C4C2314yes—
701C4×C22⋊C4C2314yes—
702C4×C22⋊C4C2314yes—
703C4×C22⋊C4C2314yes—
704C4×C22⋊C4C2314yes—
705C4×C22⋊C4C2314yes—
706C4×C22⋊C4C2314yes—
707C4×C22⋊C4C2312yes—
708C4×C22⋊C4C2312yes—
709C4×C22⋊C4C2312yes—
710C4×C22⋊C4C2312yes—
711C4×C22⋊C4C2312yes—
712C4×C22⋊C4C2312yes—
713#376C2312yes—
714#376C2312yes—
715C2×#95C2312yes—
716C2×#95C2312yes—
717C2×#95C2312yes—
718C2×#95C2312yes—
719C2×#95C2312yes—
720C2×#95C2312yes—
721C2×#95C2312yes—
722C25C2411yescharacteristic
723C25C2411yescharacteristic
724C25C2412yes—
725C22×Q8—24no—
726C22×Q8—42no—
727C22×Q8—42no—
728C22×Q8C2412yes—
729C22×Q8C2412yes—
730C22×Q8C2414yes—
731C22×D4—24no—
732C22×D4—24no—
733C22×D4—28no—
734C22×D4—24no—
735C22×D4—42no—
736C22×D4—42no—
737C22×D4—42no—
738C22×D4—44no—
739C22×D4—44no—
740C22×D4C2414yes—
741C22×D4C2412yes—
742C22×D4C2412yes—
743C22×D4C2412yes—
744C22×D4C2412yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C23×C4—24no—
749C23×C4—42no—
750C23×C4—42no—
751C23×C4—42no—
752C23×C4—42no—
753C23×C4#4118yes—
754C23×C4C2412yes—
755C23×C4C2411yescharacteristic
756C23×C4C2412yes—
757C23×C4C2412yes—
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2412yes—
762C23×C4C2412yes—
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2412yes—
766C23×C4C2412yes—
767C23×C4C2414yes—
768C23×C4C2412yes—
769C23×C4C2412yes—
770C23×C4C2412yes—
771C23×C4C2412yes—
772C23×C4C2414yes—
773C23×C4C2412yes—
774C23×C4C2412yes—
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C4⋊Q8—44no—
779C4⋊Q8—44no—
780#126—48no—
781#126—48no—
782#126—48no—
783#125—28no—
784#125—44no—
785#124—44no—
786#124—44no—
787#124—48no—
788#123—48no—
789#123—48no—
790#123—48no—
791#123—48no—
792#123—48no—
793#123—48no—
794#123—48no—
795C22⋊Q8—28no—
796C22⋊Q8—28no—
797C22⋊Q8—28no—
798C22⋊Q8—28no—
799C22⋊Q8—28no—
800C22⋊Q8—48no—
801C22⋊Q8—48no—
802C22⋊Q8—48no—
803C22⋊Q8—48no—
804C22⋊Q8—44no—
805#121—28no—
806#121—28no—
807#121—28no—
808#121—28no—
809#121—48no—
810#121—48no—
811#121—44no—
812#121—44no—
813#120—216no—
814#120—48no—
815C4×Q8—44no—
816C4×Q8—44no—
817C4×D4—28no—
818C4×D4—28no—
819C4×D4—28no—
820C4×D4—28no—
821C4×D4—28no—
822C4×D4—44no—
823C4×D4—44no—
824C4×D4—44no—
825C4×D4—48no—
826C4×D4—48no—
827C4×D4—48no—
828C4×D4—48no—
829#117—24no—
830#117—24no—
831#117—42no—
832#117—42no—
833#117—42no—
834#117—42no—
835#117—44no—
836#117—44no—
837#117—48no—
838#117—48no—
839#117—42no—
840#117—42no—
841#117—48no—
842C2×C4⋊C4—24no—
843C2×C4⋊C4—24no—
844C2×C4⋊C4—24no—
845C2×C4⋊C4—28no—
846C2×C4⋊C4—24no—
847C2×C4⋊C4—42no—
848C2×C4⋊C4—42no—
849C2×C4⋊C4—44no—
850C2×C4⋊C4—42no—
851C2×C4⋊C4—44no—
852C2×C4⋊C4C2411yescharacteristic
853C2×C4⋊C4C2411yescharacteristic
854C2×C4⋊C4C2412yes—
855C2×C4⋊C4C2411yescharacteristic
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2412yes—
858C2×C4⋊C4C2412yes—
859C2×C4⋊C4C2412yes—
860C2×C4⋊C4C2412yes—
861C2×C4⋊C4C2412yes—
862C2×C4⋊C4C2412yes—
863C2×C4⋊C4C2412yes—
864C2×C4⋊C4C2412yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2412yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2412yes—
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2411yescharacteristic
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2414yes—
888C2×C4⋊C4C2414yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2414yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C22⋊C4—24no—
908C2×C22⋊C4—28no—
909C2×C22⋊C4—28no—
910C2×C22⋊C4—28no—
911C2×C22⋊C4—24no—
912C2×C22⋊C4—28no—
913C2×C22⋊C4—44no—
914C2×C22⋊C4—48no—
915C2×C22⋊C4—44no—
916C2×C22⋊C4—44no—
917C2×C22⋊C4—44no—
918C2×C22⋊C4C2412yes—
919C2×C22⋊C4C2412yes—
920C2×C22⋊C4C2412yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2412yes—
925C2×C22⋊C4C2412yes—
926C2×C22⋊C4C2412yes—
927C2×C22⋊C4C2412yes—
928C2×C22⋊C4C2412yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2412yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2412yes—
937C2×C22⋊C4C2412yes—
938C2×C22⋊C4C2412yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2412yes—
942C2×C22⋊C4C2412yes—
943C2×C22⋊C4C2412yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2412yes—
948C2×C22⋊C4C2412yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C42—24no—
975C2×C42—44no—
976C2×C42—44no—
977C2×C42—44no—
978C2×C42C2412yes—
979C2×C42C2412yes—
980C2×C42C2412yes—
981C2×C42C2412yes—
982C2×C42C2412yes—
983C2×C42C2412yes—
984C2×C42C2412yes—
985C2×C42C2412yes—
986C2×C42C2414yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2412yes—
990C2×C42C2414yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2412yes—
996C2×C42C2412yes—
997C2×C42C2412yes—
998#95C2412yes—
999#95C2412yes—
1000#95C2412yes—
1001#95C2412yes—
1002#95C2412yes—
1003#95C2412yes—
1004#95C2412yes—
1005#95C2412yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2412yes—
1017#95C2412yes—
1018#95C2412yes—
1019#95C2412yes—
1020#95C2412yes—
1021#95C2412yes—
1022#95C2412yes—
1023#95C2412yes—
1024#95C2412yes—
1025#95C2412yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2412yes—
1042#95C2414yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2414yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—22no—
1062C24—24no—
1063C24—41no—
1064C24—41no—
1065C24—41no—
1066C24—41no—
1067C24—41no—
1068C24—41no—
1069C24—41no—
1070C24—41no—
1071C24—42no—
1072C24—42no—
1073C24—42no—
1074C24—42no—
1075C24—42no—
1076C24—42no—
1077C24C2×#4114yes—
1078C24H(5,𝔽2)14yes—
1079C24C2514yes—
1080C24C2511yescharacteristic
1081C24C2511yescharacteristic
1082C24C2512yes—
1083C24C2511yescharacteristic
1084C2×Q8—24no—
1085C2×Q8—24no—
1086C2×Q8—24no—
1087C2×Q8—24no—
1088C2×Q8—42no—
1089C2×Q8—42no—
1090C2×Q8—44no—
1091C2×Q8—44no—
1092C2×Q8—44no—
1093C2×Q8—88no—
1094C2×D4—24no—
1095C2×D4—24no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—24no—
1099C2×D4—24no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—24no—
1105C2×D4—24no—
1106C2×D4—24no—
1107C2×D4—24no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—416no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—416no—
1120C2×D4—816no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—28no—
1147C22×C4—416no—
1148C22×C4—41no—
1149C22×C4—42no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—42no—
1156C22×C4—42no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—41no—
1165C22×C4—44no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—41no—
1170C22×C4—44no—
1171C22×C4—42no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—44no—
1180C22×C4—42no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—44no—
1185C22×C4—42no—
1186C22×C4—44no—
1187C22×C4—42no—
1188C22×C4—88no—
1189C22×C4C2×#4114yes—
1190C22×C4C2×#4114yes—
1191C22×C4C2×#4114yes—
1192C22×C4C2×#4114yes—
1193C22×C4C2×#4114yes—
1194C22×C4C2×#4114yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2514yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C4⋊C4—24no—
1220C4⋊C4—24no—
1221C4⋊C4—24no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—28no—
1234C4⋊C4—28no—
1235C4⋊C4—24no—
1236C4⋊C4—44no—
1237C4⋊C4—42no—
1238C4⋊C4—44no—
1239C4⋊C4—42no—
1240C4⋊C4—44no—
1241C4⋊C4—42no—
1242C4⋊C4—44no—
1243C4⋊C4—42no—
1244C4⋊C4—42no—
1245C4⋊C4—44no—
1246C4⋊C4—42no—
1247C4⋊C4—42no—
1248C4⋊C4—44no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—44no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—44no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4H(5,𝔽2)14yes—
1274C22⋊C4—24no—
1275C22⋊C4—24no—
1276C22⋊C4—28no—
1277C22⋊C4—28no—
1278C22⋊C4—24no—
1279C22⋊C4—28no—
1280C22⋊C4—24no—
1281C22⋊C4—28no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—24no—
1288C22⋊C4—24no—
1289C22⋊C4—24no—
1290C22⋊C4—24no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—24no—
1294C22⋊C4—24no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C42—24no—
1331C42—24no—
1332C42—24no—
1333C42—24no—
1334C42—24no—
1335C42—24no—
1336C42—24no—
1337C42—24no—
1338C42—42no—
1339C42—42no—
1340C42—42no—
1341C42—42no—
1342C42—42no—
1343C42—42no—
1344C42—44no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—22no—
1355C23—21no—
1356C23—21no—
1357C23—22no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—22no—
1363C23—22no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—22no—
1371C23—22no—
1372C23—28no—
1373C23—28no—
1374C23—24no—
1375C23—24no—
1376C23—24no—
1377C23—24no—
1378C23—24no—
1379C23—24no—
1380C23—24no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23—48no—
1386C23—82no—
1387C23—82no—
1388C23—82no—
1389C23—82no—
1390C23—82no—
1391C23—82no—
1392C23—82no—
1393C23—82no—
1394C23—84no—
1395C23—84no—
1396C23—162no—
1397C23—162no—
1398C23—162no—
1399C23—162no—
1400C23C22×#4112yes—
1401C23C22×#4112yes—
1402C23C22×#4112yes—
1403C23C2×H(5,𝔽2)14yes—
1404C23C2×H(5,𝔽2)12yes—
1405C23#58512yes—
1406C23C2611yescharacteristic
1407Q8—48no—
1408Q8—84no—
1409Q8—164no—
1410D4—48no—
1411D4—48no—
1412D4—48no—
1413D4—416no—
1414D4—48no—
1415D4—88no—
1416D4—88no—
1417D4—88no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—22no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—28no—
1427C2×C4—28no—
1428C2×C4—28no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—24no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—24no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—48no—
1490C2×C4—48no—
1491C2×C4—48no—
1492C2×C4—44no—
1493C2×C4—48no—
1494C2×C4—88no—
1495C2×C4—84no—
1496C2×C4—82no—
1497C2×C4—84no—
1498C2×C4—84no—
1499C2×C4—82no—
1500C2×C4—84no—
1501C2×C4—84no—
1502C2×C4—84no—
1503C2×C4—84no—
1504C2×C4—164no—
1505C2×C4—162no—
1506C2×C4—162no—
1507C2×C4C22×#4112yes—
1508C2×C4C22×#4112yes—
1509C2×C4C22×#4112yes—
1510C2×C4C22×#4112yes—
1511C2×C4C2×H(5,𝔽2)14yes—
1512C2×C4C2×H(5,𝔽2)12yes—
1513C2×C4#58512yes—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—22no—
1523C22—22no—
1524C22—24no—
1525C22—22no—
1526C22—22no—
1527C22—24no—
1528C22—24no—
1529C22—42no—
1530C22—42no—
1531C22—41no—
1532C22—41no—
1533C22—42no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—42no—
1539C22—41no—
1540C22—41no—
1541C22—44no—
1542C22—44no—
1543C22—44no—
1544C22—44no—
1545C22—44no—
1546C22—44no—
1547C22—44no—
1548C22—88no—
1549C22—88no—
1550C22—168no—
1551C22#349414yes—
1552C22C23×#4111yescharacteristic
1553C22C22×H(5,𝔽2)11yescharacteristic
1554C22C22×H(5,𝔽2)11yescharacteristic
1555C22C2×#58511yescharacteristic
1556C22C2×#58511yescharacteristic
1557C222−1+611yescharacteristic
1558C222−1+611yescharacteristic
1559C4—22no—
1560C4—22no—
1561C4—22no—
1562C4—24no—
1563C4—42no—
1564C4—44no—
1565C4—44no—
1566C4—42no—
1567C4—44no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—44no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—44no—
1580C4—42no—
1581C4—42no—
1582C4#350514yes—
1583C2—24no—
1584C2—42no—
1585C2—44no—
1586C2—42no—
1587C2—84no—
1588C2C2×#350511yescharacteristic
1589C2C2×#349411yescharacteristic
1590C2#6286011yescharacteristic
1591C2#6289511yescharacteristic
1592C2#6289811yescharacteristic
1593C2#6290111yescharacteristic
1594C2#6291111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35000C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #47925C2semidirect
2. #47920C2semidirect
3. #47015C2semidirect
4. #46410C2semidirect
5. #43048C2semidirect
6. #43016C2semidirect
7. #39550C2semidirect
8. #39549C2semidirect
9. #39504C2semidirect
10. #39482C2semidirect
11. #39056C2semidirect
12. #39054C2semidirect
13. #38067C2semidirect
14. #38055C2semidirect
15. #37944C2semidirect
16. #37758C2semidirect
17. #37451C2semidirect
18. #37371C2semidirect
19. #37364C2semidirect
20. #36183C2semidirect
21. #36108C2semidirect
22. #35613C2semidirect
23. #35523C2semidirect
24. #35253C2semidirect
26. C2×#2415C2semidirect
27. #34380C2semidirect
28. #34204C2semidirect
29. #34057C2semidirect
30. C2×#551C22semidirect
31. C2×#544C22semidirect
33. C2×#529C22semidirect
35. C22×C22⋊Q8C22semidirect
37. C2×#518C22semidirect
40. #2857C22semidirect
41. #2857C22semidirect
42. #2855C22semidirect
44. #2854C22semidirect
45. #2851C22semidirect
46. #2850C22semidirect
48. #2816C22semidirect
49. #2809C22semidirect
50. #2808C22semidirect
51. #2802C22semidirect
52. #2800C22semidirect
53. #2797C22semidirect
54. #2787C22semidirect
55. #2786C22semidirect
56. #2783C22semidirect
57. #2783C22semidirect
58. #2782C22semidirect
59. #2779C22semidirect
60. #2777C22semidirect
61. #2773C22semidirect
62. #2772C22semidirect
63. #2768C22semidirect
64. #2764C22semidirect
65. #2763C22semidirect
66. #2759C22semidirect
67. #2757C22semidirect
68. #2754C22semidirect
69. #2746C22semidirect
70. #2745C22semidirect
71. #2739C22semidirect
72. #2738C22semidirect
73. #2736C22semidirect
74. #2735C22semidirect
75. #2725C22semidirect
76. #2723C22semidirect
77. #2718C22semidirect
78. #2710C22semidirect
79. #2708C22semidirect
80. #2708C22semidirect
83. #2691C22semidirect
84. #2689C22semidirect
87. #2681C22semidirect
88. #2674C22semidirect
89. #2647C22semidirect
90. #2645C22semidirect
91. #2644C22semidirect
92. #2640C22semidirect
93. #2629C22semidirect
94. #2628C22semidirect
95. #2626C22semidirect
96. #2626C22semidirect
97. #2620C22semidirect
98. #2620C22semidirect
103. #2608C22semidirect
104. #2600C22semidirect
105. #2597C22semidirect
106. #2595C22semidirect
107. #2590C22semidirect
108. #2587C22semidirect
109. #2578C22semidirect
110. #2577C22semidirect
111. #2576C22semidirect
112. #2575C22semidirect
113. #2564C22semidirect
114. #2564C22semidirect
115. #2560C22semidirect
116. #2559C22semidirect
118. #2553C22semidirect
122. #2521C22semidirect
123. #2515C22semidirect
124. #2513C22semidirect
125. #2511C22semidirect
126. #2510C22semidirect
127. #2508C22semidirect
128. #2507C22semidirect
129. #2507C22semidirect
130. #2502C22semidirect
132. #2498C22semidirect
133. #2498C22semidirect
134. #2497C22semidirect
135. #2496C22semidirect
136. #2496C22semidirect
137. #2491C22semidirect
138. #2489C22semidirect
139. #2488C22semidirect
140. #2488C22semidirect
141. #2488C22semidirect
143. #2486C22semidirect
144. #2485C22semidirect
145. #2482C22semidirect
146. #2481C22semidirect
147. #2480C22semidirect
148. #2478C22semidirect
149. #2477C22semidirect
150. #2477C22semidirect
151. #2476C22semidirect
153. #2470C22semidirect
154. #2466C22semidirect
155. #2466C22semidirect
156. #2460C22semidirect
157. #2455C22semidirect
158. #2454C22semidirect
159. #2451C22semidirect
160. #2450C22semidirect
161. #2448C22semidirect
162. #2447C22semidirect
163. #2442C22semidirect
164. #2441C22semidirect
165. #2440C22semidirect
166. #2439C22semidirect
167. #2439C22semidirect
168. #2438C22semidirect
171. #2435C22semidirect
172. #2427C22semidirect
173. #2427C22semidirect
174. #2426C22semidirect
175. #2422C22semidirect
176. #2421C22semidirect
177. #2420C22semidirect
178. #2419C22semidirect
179. #2419C22semidirect
186. #2415C22semidirect
187. #2415C22semidirect
188. #2415C22semidirect
189. #2413C22semidirect
190. #2412C22semidirect
191. #2412C22semidirect
196. #2378C22semidirect
197. #2363C22semidirect
198. #2363C22semidirect
201. #2360C22semidirect
202. #2360C22semidirect
203. #2359C22semidirect
204. #2358C22semidirect
205. #2352C22semidirect
206. #2344C22semidirect
208. #2342C22semidirect
209. Q8×C22⋊C4C22semidirect
211. #2330C22semidirect
212. #2329C22semidirect
213. #2329C22semidirect
214. #2326C22semidirect
215. #2324C22semidirect
216. #2324C22semidirect
217. #2323C22semidirect
218. #2323C22semidirect
219. #2320C22semidirect
220. #2319C22semidirect
223. #2318C22semidirect
224. #2318C22semidirect
225. #2317C22semidirect
226. #2317C22semidirect
227. #2316C22semidirect
228. #2316C22semidirect
229. #2316C22semidirect
230. #2315C22semidirect
231. #2315C22semidirect
232. #2313C22semidirect
233. #2313C22semidirect
234. #2313C22semidirect
236. #2309C22semidirect
239. C4×C22⋊Q8C22semidirect
242. C4×#121C22semidirect
243. C2×#391C22semidirect
244. C2×#389C22semidirect
245. C2×#389C22semidirect
248. #2290C22semidirect
249. #2290C22semidirect
250. C2×#388C22semidirect
251. #2285C22semidirect
252. #2283C22semidirect
256. C2×#380C22semidirect
257. #2274C22semidirect
258. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#479252
#479202
#470152
#464102
#430482
#430162
#395502
#395492
#395042
#394822
#390562
#390542
#380672
#380552
#379442
#377582
#374512
#373712
#373642
#361832
#361082
#356132
#355232
#352532
#350002
C2×#24152
#343802
#342042
#340572